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Finding the Fourth Proportional to 10,077.95, 13,907.59 and 5,601.60

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Solution

The fourth proportional to 10,077.95, 13,907.59 and 5,601.60 is: 7,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.95 : 13,907.59 = 5,601.60 : x
  2. Step 2: Convert to fraction form
    10,077.95/13,907.59 = 5,601.60/x
  3. Step 3: Cross multiply
    10,077.95x = 13,907.59 × 5,601.60
  4. Step 4: Simplify right side
    10,077.95x = 77,904,742.14
  5. Step 5: Solve for x
    x = 77,904,742.14/10,077.95
  6. Step 6: Final answer
    x = 7,730.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.